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Alekssandra [29.7K]
2 years ago
6

The sum of two consecutive even integers is 106. What are the integers?

Mathematics
1 answer:
Kruka [31]2 years ago
4 0

Answer:

The integers are 52 and 54

Step-by-step explanation:

x = first even integer

x + 2 = next integer that is even

x + x + 2 = 106

2x + 2 = 106

2x = 104

x = 52

x + 2 = 54

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The picture below shows a container that Jeff uses to freeze water: A cylinder is shown with base diameter of 8 centimeters and
Butoxors [25]
Okay, first we need to figure out what one would make. We need to figure out the area of the base x height. The diameter is 8 so we will cut that to 4 so we can do piR2! 3.14x16 would be 50.24. Then we mutiply that by 10 to get 502.4cm3! Okay, now we would divide 2000/502.4 to find out how many times we would have to make the containers to get to 2000. The answer is 3.98, which we will have to round up since its asks for the minimum and you cant make a container 3.98 times. So the answer is 4!
5 0
3 years ago
Suppose you pick two cards from a deck of 52 playing cards. What is the probability that they are both queens?
photoshop1234 [79]

Answer:

0.45% probability that they are both queens.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

The combinations formula is important in this problem:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes

You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.

The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So

D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6

Total outcomes

Combinations of 2 from a set of 52(number of playing cards). So

T = C_{52,2} = \frac{52!}{2!(52-2)!} = 1326

What is the probability that they are both queens?

P = \frac{D}{T} = \frac{6}{1326} = 0.0045

0.45% probability that they are both queens.

4 0
3 years ago
Need help with a math question
Margaret [11]

Answer:

90 sq inches

Step-by-step explanation:

The lateral area is the side area of the pyramid. In this case, there are 3 sides because the base is a triangle.  Since the base is an equilateral triangle, all sides are of equal dimensions.  So, the sides of the pyramid are also all of the same size, area.

We then just have to figure out the area of one of the side triangles, then multiply it by 3 to get the total lateral area of that pyramid.

We know how to calculate the area of a triangle: A = (b * h)/2

In this case, b = 5 in, h = 12 in. So,

TA = (5 * 12)/2 = 60 / 2 = 30

Each side triangle has an area of 30 sq inches.

LA = 3 * TA (since there are 3 sides)

LA = 3 * 30 = 90 sq inches

8 0
3 years ago
The sum of a number is<br> 4 less then 2 times a<br> number is 35 what is the number?
Artist 52 [7]
<h2>Answer:</h2>

<em>21.5</em>

<h2>Step-by-step explanation:</h2>
  1. 35 divided by 2 = 17.5
  2. 17.5 + 4 = 21.5
  3. <u>Just do the inverse</u>
5 0
3 years ago
1. Slope = -3<br> Y-intercept = 4<br> Y = mx + b
AURORKA [14]

Answer:

y=(-3)+4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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